223223440 has 80 divisors (see below), whose sum is σ = 585766080. Its totient is φ = 78364160.

The previous prime is 223223417. The next prime is 223223443. The reversal of 223223440 is 44322322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223223440³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (223223443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21147 + ... + 29893.

It is an arithmetic number, because the mean of its divisors is an integer number (7322076).

Almost surely, 2^223223440 is an apocalyptic number.

223223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292883040).

223223440 is an abundant number, since it is smaller than the sum of its proper divisors (362542640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223223440 is a wasteful number, since it uses less digits than its factorization.

223223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 223223440 is about 14940.6639745361. The cubic root of 223223440 is about 606.6151682459.

Adding to 223223440 its reverse (44322322), we get a palindrome (267545762).

The spelling of 223223440 in words is "two hundred twenty-three million, two hundred twenty-three thousand, four hundred forty".